Question

kenneth wants to solve the system of equations shown below. he made two tables showing the value of y for different values of x. kenneth looks at the graph and says the solution is (1.5, 3). substitute 1.5 for x and 3 for y in the second equation. y = 6 - 2x? = 6 - 2 (?)

Explanation:

Step1: Substitute y=3, x=1.5

$3 = 6 - 2(1.5)$

Step2: Calculate right-hand side

$6 - 2(1.5) = 6 - 3 = 3$

Step3: Verify equality

Left-hand side ($3$) = Right-hand side ($3$)

Answer:

The filled equation is $\boldsymbol{3 = 6 - 2(1.5)}$, and the solution $(1.5, 3)$ is valid for the second equation.